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1074312475425 = 325276111182019
BaseRepresentation
bin11111010001000100000…
…00110111001100100001
310210200222200110022111200
433220202000313030201
5120100142443203200
62141310552431413
7140421315241230
oct17504200671441
93720880408450
101074312475425
11384682426642
121542610a8569
137a3cbcacba7
1439dd5ab2b17
151ce2a772800
hexfa22037321

1074312475425 has 72 divisors (see below), whose sum is σ = 2235151613760. Its totient is φ = 483063177600.

The previous prime is 1074312475393. The next prime is 1074312475427. The reversal of 1074312475425 is 5245742134701.

1074312475425 is a `hidden beast` number, since 1 + 0 + 74 + 31 + 2 + 4 + 7 + 542 + 5 = 666.

It is not a de Polignac number, because 1074312475425 - 25 = 1074312475393 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1074312475427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5494935 + ... + 5687084.

Almost surely, 21074312475425 is an apocalyptic number.

1074312475425 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1074312475425 is an abundant number, since it is smaller than the sum of its proper divisors (1160839138335).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1074312475425 is a wasteful number, since it uses less digits than its factorization.

1074312475425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11182103 (or 11182095 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 1074312475425 in words is "one trillion, seventy-four billion, three hundred twelve million, four hundred seventy-five thousand, four hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 61 63 75 105 175 183 225 305 315 427 525 549 915 1281 1525 1575 2135 2745 3843 4575 6405 10675 13725 19215 32025 96075 11182019 33546057 55910095 78274133 100638171 167730285 234822399 279550475 391370665 503190855 682103159 704467197 838651425 1174111995 1956853325 2046309477 2515954275 3410515795 3522335985 4774722113 5870559975 6138928431 10231547385 14324166339 17052578975 17611679925 23873610565 30694642155 42972499017 51157736925 71620831695 119368052825 153473210775 214862495085 358104158475 1074312475425